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97732223136 = 253486343691
BaseRepresentation
bin101101100000101001…
…0110110000010100000
3100100021010102100020000
41123001102312002200
53100123422120021
6112521512420000
710026616122102
oct1330122660240
9310233370200
1097732223136
11384a2323849
1216b363a7600
1392a6a3a442
144a31bbd572
1528200d0b26
hex16c14b60a0

97732223136 has 120 divisors (see below), whose sum is σ = 287767396224. Its totient is φ = 32538913920.

The previous prime is 97732223107. The next prime is 97732223137. The reversal of 97732223136 is 63132223779.

97732223136 is a `hidden beast` number, since 9 + 7 + 7 + 322 + 2 + 313 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97732223091 and 97732223100.

It is not an unprimeable number, because it can be changed into a prime (97732223137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2215051 + ... + 2258741.

Almost surely, 297732223136 is an apocalyptic number.

97732223136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97732223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143883698112).

97732223136 is an abundant number, since it is smaller than the sum of its proper divisors (190035173088).

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

97732223136 is a wasteful number, since it uses less digits than its factorization.

97732223136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44576 (or 44559 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The spelling of 97732223136 in words is "ninety-seven billion, seven hundred thirty-two million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 863 864 1296 1726 2589 2592 3452 5178 6904 7767 10356 13808 15534 20712 23301 27616 31068 41424 43691 46602 62136 69903 82848 87382 93204 124272 131073 139806 174764 186408 248544 262146 279612 349528 372816 393219 524292 559224 699056 745632 786438 1048584 1118448 1179657 1398112 1572876 2097168 2236896 2359314 3145752 3538971 4194336 4718628 6291504 7077942 9437256 12583008 14155884 18874512 28311768 37705333 37749024 56623536 75410666 113115999 113247072 150821332 226231998 301642664 339347997 452463996 603285328 678695994 904927992 1018043991 1206570656 1357391988 1809855984 2036087982 2714783976 3054131973 3619711968 4072175964 5429567952 6108263946 8144351928 10859135904 12216527892 16288703856 24433055784 32577407712 48866111568 97732223136