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55077396408 = 233217933112911
BaseRepresentation
bin110011010010110111…
…100101111110111000
312021011102211122002200
4303102313211332320
51400244303141113
641145135430200
73656604100506
oct632267457670
9167142748080
1055077396408
11213a3833131
12a811385360
1352699598b8
142946bbb676
1516754d8873
hexcd2de5fb8

55077396408 has 96 divisors (see below), whose sum is σ = 150466118400. Its totient is φ = 18200001600.

The previous prime is 55077396401. The next prime is 55077396421. The reversal of 55077396408 is 80469377055.

55077396408 is a `hidden beast` number, since 5 + 507 + 7 + 3 + 96 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55077396401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4259473 + ... + 4272383.

It is an arithmetic number, because the mean of its divisors is an integer number (1567355400).

Almost surely, 255077396408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55077396408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75233059200).

55077396408 is an abundant number, since it is smaller than the sum of its proper divisors (95388721992).

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

55077396408 is a wasteful number, since it uses less digits than its factorization.

55077396408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 55077396408 in words is "fifty-five billion, seventy-seven million, three hundred ninety-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 331 358 537 662 716 993 1074 1324 1432 1611 1986 2148 2648 2979 3222 3972 4296 5958 6444 7944 11916 12888 12911 23832 25822 38733 51644 59249 77466 103288 116199 118498 154932 177747 232398 236996 309864 355494 464796 473992 533241 710988 929592 1066482 1421976 2132964 2311069 4265928 4273541 4622138 6933207 8547082 9244276 12820623 13866414 17094164 18488552 20799621 25641246 27732828 34188328 38461869 41599242 51282492 55465656 76923738 83198484 102564984 153847476 166396968 307694952 764963839 1529927678 2294891517 3059855356 4589783034 6119710712 6884674551 9179566068 13769349102 18359132136 27538698204 55077396408