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55561100006970 = 23251736314444449
BaseRepresentation
bin11001010001000010100111…
…01000010001011000111010
321021201120220120221001102200
430220201103220101120322
524240303113100210340
6314100230022211030
714463104565513015
oct1450412350213072
9237646816831380
1055561100006970
111678136a52a678
126294143b83a76
13250050a24608c
14da1258ba837c
156654120a0330
hex328853a1163a

55561100006970 has 48 divisors (see below), whose sum is σ = 152956440023400. Its totient is φ = 13944746668032.

The previous prime is 55561100006957. The next prime is 55561100006977. The reversal of 55561100006970 is 7960000116555.

55561100006970 is a `hidden beast` number, since 5 + 5 + 561 + 10 + 0 + 0 + 0 + 6 + 9 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44170738255449 + 11390361751521 = 6646107^2 + 3374961^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55561100006977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18157220695 + ... + 18157223754.

Almost surely, 255561100006970 is an apocalyptic number.

55561100006970 is an abundant number, since it is smaller than the sum of its proper divisors (97395340016430).

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

55561100006970 is a wasteful number, since it uses less digits than its factorization.

55561100006970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36314444479 (or 36314444476 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 55561100006970 in words is "fifty-five trillion, five hundred sixty-one billion, one hundred million, six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 36314444449 72628888898 108943333347 181572222245 217886666694 326830000041 363144444490 544716666735 617345555633 653660000082 1089433333470 1234691111266 1634150000205 1852036666899 3086727778165 3268300000410 3704073333798 5556110000697 6173455556330 9260183334495 11112220001394 18520366668990 27780550003485 55561100006970