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374001201312 = 25337137768563
BaseRepresentation
bin1010111000101000011…
…01010111000010100000
31022202100210020112221220
411130110031113002200
522111423301420222
6443451435415040
736010045521054
oct5342415270240
91282323215856
10374001201312
11134681a23112
12605982b4480
13293641c86ab
141415d301c64
159ade1d0b5c
hex57143570a0

374001201312 has 96 divisors (see below), whose sum is σ = 1015648103232. Its totient is φ = 120412145664.

The previous prime is 374001201289. The next prime is 374001201313. The reversal of 374001201312 is 213102100473.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (374001201313) 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, 102343 + ... + 870905.

It is an arithmetic number, because the mean of its divisors is an integer number (10579667742).

Almost surely, 2374001201312 is an apocalyptic number.

374001201312 is a gapful number since it is divisible by the number (32) 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 374001201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507824051616).

374001201312 is an abundant number, since it is smaller than the sum of its proper divisors (641646901920).

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

374001201312 is a wasteful number, since it uses less digits than its factorization.

374001201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768750 (or 768742 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 374001201312 its reverse (213102100473), we get a palindrome (587103301785).

The spelling of 374001201312 in words is "three hundred seventy-four billion, one million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 137 148 222 274 296 411 444 548 592 822 888 1096 1184 1644 1776 2192 3288 3552 4384 5069 6576 10138 13152 15207 20276 30414 40552 60828 81104 121656 162208 243312 486624 768563 1537126 2305689 3074252 4611378 6148504 9222756 12297008 18445512 24594016 28436831 36891024 56873662 73782048 85310493 105293131 113747324 170620986 210586262 227494648 315879393 341241972 421172524 454989296 631758786 682483944 842345048 909978592 1263517572 1364967888 1684690096 2527035144 2729935776 3369380192 3895845847 5054070288 7791691694 10108140576 11687537541 15583383388 23375075082 31166766776 46750150164 62333533552 93500300328 124667067104 187000600656 374001201312