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91387929864 = 23371165375731
BaseRepresentation
bin101010100011100100…
…1010010010100001000
322201212222111211222010
41111013021102110020
52444130302223424
6105552200255520
76413451405210
oct1250711222410
9281788454863
1091387929864
1135837116370
12158657715a0
138805535b5a
1445cd38b240
15259d13a229
hex1547252508

91387929864 has 128 divisors (see below), whose sum is σ = 285285473280. Its totient is φ = 23700460800.

The previous prime is 91387929863. The next prime is 91387929869. The reversal of 91387929864 is 46892978319.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 91387929795 and 91387929804.

It is not an unprimeable number, because it can be changed into a prime (91387929863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168879 + ... + 1244609.

It is an arithmetic number, because the mean of its divisors is an integer number (2228792760).

Almost surely, 291387929864 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 91387929864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142642736640).

91387929864 is an abundant number, since it is smaller than the sum of its proper divisors (193897543416).

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

91387929864 is a wasteful number, since it uses less digits than its factorization.

91387929864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76411 (or 76407 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 91387929864 in words is "ninety-one billion, three hundred eighty-seven million, nine hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 653 924 1306 1848 1959 2612 3918 4571 5224 7183 7836 9142 13713 14366 15672 18284 21549 27426 28732 36568 43098 50281 54852 57464 75731 86196 100562 109704 150843 151462 172392 201124 227193 301686 302924 402248 454386 530117 603372 605848 833041 908772 1060234 1206744 1590351 1666082 1817544 2120468 2499123 3180702 3332164 4240936 4998246 5831287 6361404 6664328 9996492 11662574 12722808 17493861 19992984 23325148 34987722 46650296 49452343 69975444 98904686 139950888 148357029 197809372 296714058 346166401 395618744 543975773 593428116 692332802 1038499203 1087951546 1186856232 1384665604 1631927319 2076998406 2175903092 2769331208 3263854638 3807830411 4153996812 4351806184 6527709276 7615660822 8307993624 11423491233 13055418552 15231321644 22846982466 30462643288 45693964932 91387929864