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133401407496 = 23372259143781
BaseRepresentation
bin111110000111101010…
…1111111000000001000
3110202022222021122112020
41330033111333000020
54141201230014441
6141141143044440
712431545153200
oct1741725770010
9422288248466
10133401407496
1151636686a05
1221a2ba40720
13c76c7a11a6
146657121400
15370b797e66
hex1f0f57f008

133401407496 has 96 divisors (see below), whose sum is σ = 388111668480. Its totient is φ = 38099107200.

The previous prime is 133401407467. The next prime is 133401407521. The reversal of 133401407496 is 694704104331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025126 + ... + 3068906.

It is an arithmetic number, because the mean of its divisors is an integer number (4042829880).

Almost surely, 2133401407496 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 133401407496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194055834240).

133401407496 is an abundant number, since it is smaller than the sum of its proper divisors (254710260984).

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

133401407496 is a wasteful number, since it uses less digits than its factorization.

133401407496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46395 (or 46384 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 133401407496 in words is "one hundred thirty-three billion, four hundred one million, four hundred seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2591 5182 7773 10364 15546 18137 20728 31092 36274 43781 54411 62184 72548 87562 108822 126959 131343 145096 175124 217644 253918 262686 306467 350248 380877 435288 507836 525372 612934 761754 919401 1015672 1050744 1225868 1523508 1838802 2145269 2451736 3047016 3677604 4290538 6435807 7355208 8581076 12871614 17162152 25743228 51486456 113436571 226873142 340309713 453746284 680619426 794055997 907492568 1361238852 1588111994 2382167991 2722477704 3176223988 4764335982 5558391979 6352447976 9528671964 11116783958 16675175937 19057343928 22233567916 33350351874 44467135832 66700703748 133401407496