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10252678041440 = 2551719198387733
BaseRepresentation
bin1001010100110010001100…
…1110111000111101100000
31100022010221202112201011122
42111030203032320331200
52320434441034311230
633450003144231412
72105505630303122
oct225144316707540
940263852481148
1010252678041440
1132a315551645a
12119705516b568
13594a91cb3103
14276337499212
1512ba67e05be5
hex953233b8f60

10252678041440 has 96 divisors (see below), whose sum is σ = 26996602842720. Its totient is φ = 3656682676224.

The previous prime is 10252678041407. The next prime is 10252678041449. The reversal of 10252678041440 is 4414087625201.

It is a junction number, because it is equal to n+sod(n) for n = 10252678041391 and 10252678041400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252678041449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99142187 + ... + 99245546.

It is an arithmetic number, because the mean of its divisors is an integer number (281214612945).

Almost surely, 210252678041440 is an apocalyptic number.

10252678041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10252678041440 is an abundant number, since it is smaller than the sum of its proper divisors (16743924801280).

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

10252678041440 is a wasteful number, since it uses less digits than its factorization.

10252678041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198387784 (or 198387776 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 10252678041440 in words is "ten trillion, two hundred fifty-two billion, six hundred seventy-eight million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 25840 51680 198387733 396775466 793550932 991938665 1587101864 1983877330 3174203728 3372591461 3769366927 3967754660 6348407456 6745182922 7538733854 7935509320 13490365844 15077467708 15871018640 16862957305 18846834635 26980731688 30154935416 31742037280 33725914610 37693669270 53961463376 60309870832 64079237759 67451829220 75387338540 107922926752 120619741664 128158475518 134903658440 150774677080 256316951036 269807316880 301549354160 320396188795 512633902072 539614633760 603098708320 640792377590 1025267804144 1281584755180 2050535608288 2563169510360 5126339020720 10252678041440