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1053536813670 = 2351140924373203
BaseRepresentation
bin11110101010010111011…
…00000000001001100110
310201201100210101100100210
433111023230000021212
5114230120411014140
62123553234120250
7136054424105625
oct17251354001146
93651323340323
101053536813670
1137689107a450
12150223420086
137846a9c4303
1438dc47996bc
151c61188ad80
hexf54bb00266

1053536813670 has 128 divisors (see below), whose sum is σ = 2767093332480. Its totient is φ = 254594350080.

The previous prime is 1053536813653. The next prime is 1053536813687. The reversal of 1053536813670 is 763186353501.

It is an interprime number because it is at equal distance from previous prime (1053536813653) and next prime (1053536813687).

It is a super-2 number, since 2×10535368136702 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328920289 + ... + 328923491.

It is an arithmetic number, because the mean of its divisors is an integer number (21617916660).

Almost surely, 21053536813670 is an apocalyptic number.

1053536813670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053536813670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383546666240).

1053536813670 is an abundant number, since it is smaller than the sum of its proper divisors (1713556518810).

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

1053536813670 is a wasteful number, since it uses less digits than its factorization.

1053536813670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070.

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 1053536813670 in words is "one trillion, fifty-three billion, five hundred thirty-six million, eight hundred thirteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 409 818 1227 2045 2437 2454 3203 4090 4499 4874 6135 6406 7311 8998 9609 12185 12270 13497 14622 16015 19218 22495 24370 26807 26994 32030 35233 36555 44990 48045 53614 67485 70466 73110 80421 96090 105699 134035 134970 160842 176165 211398 268070 352330 402105 528495 804210 996733 1056990 1310027 1993466 2620054 2990199 3930081 4983665 5980398 6550135 7805711 7860162 9967330 10964063 13100270 14410297 14950995 15611422 19650405 21928126 23417133 28820594 29901990 32892189 39028555 39300810 43230891 46834266 54820315 65784378 72051485 78057110 85862821 86461782 109640630 117085665 144102970 164460945 171725642 216154455 234171330 257588463 328921890 429314105 432308910 515176926 858628210 1287942315 2575884630 3192535799 6385071598 9577607397 15962678995 19155214794 31925357990 35117893789 47888036985 70235787578 95776073970 105353681367 175589468945 210707362734 351178937890 526768406835 1053536813670