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10270268735076 = 223272763032
BaseRepresentation
bin1001010101110011101110…
…1110000011111001100100
31100100211100200112112102100
42111130323232003321210
52321232002244010301
633502032450012100
72110000555603200
oct225347356037144
940324320475370
1010270268735076
1132aa661a56999
12119a544277030
1359663649417c
142771257bbb00
1512c2473ad286
hex9573bb83e64

10270268735076 has 81 divisors (see below), whose sum is σ = 30199876474131. Its totient is φ = 2934324039024.

The previous prime is 10270268735053. The next prime is 10270268735173. The reversal of 10270268735076 is 67053786207201.

It is a happy number.

The square root of 10270268735076 is 3204726.

It is a perfect power (a square), and thus also a powerful number.

10270268735076 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 2 + 68 + 73 + 507 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134560341 + ... + 134636643.

Almost surely, 210270268735076 is an apocalyptic number.

10270268735076 is the 3204726-th square number.

It is an amenable number.

10270268735076 is an abundant number, since it is smaller than the sum of its proper divisors (19929607739055).

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

10270268735076 is an frugal number, since it uses more digits than its factorization.

10270268735076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152630 (or 76315 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 10270268735076 in words is "ten trillion, two hundred seventy billion, two hundred sixty-eight million, seven hundred thirty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 76303 152606 228909 305212 457818 534121 686727 915636 1068242 1373454 1602363 2136484 2746908 3204726 3738847 4807089 6409452 7477694 9614178 11216541 14955388 19228356 22433082 33649623 44866164 67299246 134598492 5822147809 11644295618 17466443427 23288591236 34932886854 40755034663 52399330281 69865773708 81510069326 104798660562 122265103989 163020138652 209597321124 244530207978 285285242641 366795311967 489060415956 570570485282 733590623934 855855727923 1141140970564 1467181247868 1711711455846 2567567183769 3423422911692 5135134367538 10270268735076