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55171761312 = 2532941947297
BaseRepresentation
bin110011011000011111…
…100100010010100000
312021102000101212102010
4303120133210102200
51400442432330222
641202350152520
73662131143033
oct633037442240
9167360355363
1055171761312
1121442025958
12a838ab2740
135283379515
14295554301a
15167d92880c
hexcd87e44a0

55171761312 has 96 divisors (see below), whose sum is σ = 150180609600. Its totient is φ = 17713676288.

The previous prime is 55171761289. The next prime is 55171761317. The reversal of 55171761312 is 21316717155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×551717613122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55171761317) 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, 1142848 + ... + 1190144.

It is an arithmetic number, because the mean of its divisors is an integer number (1564381350).

Almost surely, 255171761312 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 55171761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75090304800).

55171761312 is an abundant number, since it is smaller than the sum of its proper divisors (95008848288).

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

55171761312 is a wasteful number, since it uses less digits than its factorization.

55171761312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47758 (or 47750 counting only the distinct ones).

The product of its digits is 44100, while the sum is 39.

The spelling of 55171761312 in words is "fifty-five billion, one hundred seventy-one million, seven hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 419 464 696 838 928 1257 1392 1676 2514 2784 3352 5028 6704 10056 12151 13408 20112 24302 36453 40224 47297 48604 72906 94594 97208 141891 145812 189188 194416 283782 291624 378376 388832 567564 583248 756752 1135128 1166496 1371613 1513504 2270256 2743226 4114839 4540512 5486452 8229678 10972904 16459356 19817443 21945808 32918712 39634886 43891616 59452329 65837424 79269772 118904658 131674848 158539544 237809316 317079088 475618632 574705847 634158176 951237264 1149411694 1724117541 1902474528 2298823388 3448235082 4597646776 6896470164 9195293552 13792940328 18390587104 27585880656 55171761312