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149592458496 = 2831379189661
BaseRepresentation
bin1000101101010001100…
…1111100010100000000
3112022010100121021000210
42023110121330110000
54422331132132441
6152415525314120
713544016626415
oct2132431742400
9468110537023
10149592458496
1158495052198
1224baa265940
131114ccca340
1473515c610c
153d57e2b616
hex22d467c500

149592458496 has 144 divisors (see below), whose sum is σ = 434189423360. Its totient is φ = 45445570560.

The previous prime is 149592458489. The next prime is 149592458513. The reversal of 149592458496 is 694854295941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693906 + ... + 883566.

Almost surely, 2149592458496 is an apocalyptic number.

149592458496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149592458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217094711680).

149592458496 is an abundant number, since it is smaller than the sum of its proper divisors (284596964864).

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

149592458496 is a wasteful number, since it uses less digits than its factorization.

149592458496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189772 (or 189758 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 66.

The spelling of 149592458496 in words is "one hundred forty-nine billion, five hundred ninety-two million, four hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 256 312 316 384 416 474 624 632 768 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3328 3792 4108 4992 5056 6162 7584 8216 9984 10112 12324 15168 16432 20224 24648 30336 32864 49296 60672 65728 98592 131456 189661 197184 262912 379322 394368 568983 758644 788736 1137966 1517288 2275932 2465593 3034576 4551864 4931186 6069152 7396779 9103728 9862372 12138304 14793558 14983219 18207456 19724744 24276608 29587116 29966438 36414912 39449488 44949657 48553216 59174232 59932876 72829824 78898976 89899314 118348464 119865752 145659648 157797952 179798628 194781847 236696928 239731504 315595904 359597256 389563694 473393856 479463008 584345541 631191808 719194512 779127388 946787712 958926016 1168691082 1438389024 1558254776 1893575424 1917852032 2337382164 2876778048 3116509552 3835704064 4674764328 5753556096 6233019104 9349528656 11507112192 12466038208 18699057312 24932076416 37398114624 49864152832 74796229248 149592458496