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1007162115544 = 2313131562313147
BaseRepresentation
bin11101010011111111000…
…10100100010111011000
310120021122212012120222201
432221333202210113120
5113000132000144134
62050403415255544
7132523262505244
oct16517742442730
93507585176881
101007162115544
11359153837352
1214324067a5b4
1373c8a053130
1436a65723424
151b2ea404914
hexea7f8a45d8

1007162115544 has 64 divisors (see below), whose sum is σ = 2049737437440. Its totient is φ = 461178506880.

The previous prime is 1007162115517. The next prime is 1007162115551. The reversal of 1007162115544 is 4455112617001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76601179 + ... + 76614325.

It is an arithmetic number, because the mean of its divisors is an integer number (32027147460).

Almost surely, 21007162115544 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 1007162115544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024868718720).

1007162115544 is an abundant number, since it is smaller than the sum of its proper divisors (1042575321896).

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

1007162115544 is a wasteful number, since it uses less digits than its factorization.

1007162115544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 1007162115544 in words is "one trillion, seven billion, one hundred sixty-two million, one hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 1048 1703 3406 5623 6812 11246 13147 13624 22492 26294 44984 52588 73099 105176 146198 170911 292396 341822 584792 683644 736613 1367288 1473226 1722257 2946452 3444514 5892904 6889028 9575969 13778056 19151938 22389341 38303876 44778682 73925581 76607752 89557364 147851162 179114728 295702324 591404648 961032553 1922065106 3844130212 7688260424 9684251111 19368502222 38737004444 77474008888 125895264443 251790528886 503581057772 1007162115544