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75114665340240 = 24351974512210779
BaseRepresentation
bin10001000101000011111110…
…111100011110110101010000
3100211221220002011210201021010
4101011003332330132311100
534321134313311341430
6423431111220130520
721551566300506531
oct2105037674366520
9324856064721233
1075114665340240
1121a2aa50392989
128511885536a40
1332bb3899b1a06
1414797d7c5a688
158a3d88baccb0
hex4450fef1ed50

75114665340240 has 160 divisors (see below), whose sum is σ = 245144020492800. Its totient is φ = 18973781107200.

The previous prime is 75114665340199. The next prime is 75114665340263. The reversal of 75114665340240 is 4204356641157.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75114665340240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32871171 + ... + 35081949.

It is an arithmetic number, because the mean of its divisors is an integer number (1532150128080).

Almost surely, 275114665340240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75114665340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572010246400).

75114665340240 is an abundant number, since it is smaller than the sum of its proper divisors (170029355152560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75114665340240 is a wasteful number, since it uses less digits than its factorization.

75114665340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218265 (or 2218259 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 75114665340240 in words is "seventy-five trillion, one hundred fourteen billion, six hundred sixty-five million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 7451 14902 22353 29804 37255 44706 59608 74510 89412 111765 119216 141569 149020 178824 223530 283138 298040 357648 424707 447060 566276 596080 707845 849414 894120 1132552 1415690 1698828 1788240 2123535 2210779 2265104 2831380 3397656 4247070 4421558 5662760 6632337 6795312 8494140 8843116 11053895 11325520 13264674 16988280 17686232 22107790 26529348 33161685 33976560 35372464 42004801 44215580 53058696 66323370 84009602 88431160 106117392 126014403 132646740 168019204 176862320 210024005 252028806 265293480 336038408 420048010 504057612 530586960 630072015 672076816 840096020 1008115224 1260144030 1680192040 2016230448 2520288060 3360384080 5040576120 10081152240 16472514329 32945028658 49417542987 65890057316 82362571645 98835085974 131780114632 164725143290 197670171948 247087714935 263560229264 312977772251 329450286580 395340343896 494175429870 625955544502 658900573160 790680687792 938933316753 988350859740 1251911089004 1317801146320 1564888861255 1877866633506 1976701719480 2503822178008 3129777722510 3755733267012 3953403438960 4694666583765 5007644356016 6259555445020 7511466534024 9389333167530 12519110890040 15022933068048 18778666335060 25038221780080 37557332670120 75114665340240