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71672266752 = 228389
BaseRepresentation
bin100001011000000000…
…0000000000000000000
320211222222000101121020
41002300000000000000
52133241100014002
652531545225440
75115051133632
oct1026000000000
9224888011536
1071672266752
112843a142909
1211a82a92280
1369b2a338c8
14367cb5ca52
151ce73372bc
hex10b0000000

71672266752 has 116 divisors (see below), whose sum is σ = 193273527960. Its totient is φ = 23622320128.

The previous prime is 71672266751. The next prime is 71672266763. The reversal of 71672266752 is 25766227617.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71672266695 and 71672266704.

It is not an unprimeable number, because it can be changed into a prime (71672266751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805306324 + ... + 805306412.

Almost surely, 271672266752 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 71672266752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636763980).

71672266752 is an abundant number, since it is smaller than the sum of its proper divisors (121601261208).

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

71672266752 is an frugal number, since it uses more digits than its factorization.

71672266752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 94 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The spelling of 71672266752 in words is "seventy-one billion, six hundred seventy-two million, two hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2048 2136 2848 3072 4096 4272 5696 6144 8192 8544 11392 12288 16384 17088 22784 24576 32768 34176 45568 49152 65536 68352 91136 98304 131072 136704 182272 196608 262144 273408 364544 393216 524288 546816 729088 786432 1048576 1093632 1458176 1572864 2097152 2187264 2916352 3145728 4194304 4374528 5832704 6291456 8388608 8749056 11665408 12582912 16777216 17498112 23330816 25165824 33554432 34996224 46661632 50331648 67108864 69992448 93323264 100663296 134217728 139984896 186646528 201326592 268435456 279969792 373293056 402653184 559939584 746586112 805306368 1119879168 1493172224 2239758336 2986344448 4479516672 5972688896 8959033344 11945377792 17918066688 23890755584 35836133376 71672266752