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149953800384 = 26321733150223
BaseRepresentation
bin1000101110100111110…
…0010110100011000000
3112100001112112022220200
42023221330112203000
54424101133103014
6152515434205200
713555665162333
oct2135174264300
9470045468820
10149953800384
1158660013753
122508b283800
13111a9b24acb
1473875a661a
153d79a05a09
hex22e9f168c0

149953800384 has 84 divisors (see below), whose sum is σ = 430066374816. Its totient is φ = 49955424768.

The previous prime is 149953800371. The next prime is 149953800397. The reversal of 149953800384 is 483008359941.

149953800384 is a `hidden beast` number, since 14 + 99 + 538 + 0 + 0 + 3 + 8 + 4 = 666.

149953800384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149953800371) and next prime (149953800397).

It is a super-2 number, since 2×1499538003842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149953800384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 923097 + ... + 1073319.

Almost surely, 2149953800384 is an apocalyptic number.

It is an amenable number.

149953800384 is an abundant number, since it is smaller than the sum of its proper divisors (280112574432).

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

149953800384 is a wasteful number, since it uses less digits than its factorization.

149953800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151974 (or 151961 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 149953800384 in words is "one hundred forty-nine billion, nine hundred fifty-three million, eight hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1733 3466 5199 6932 10398 13864 15597 20796 27728 31194 41592 55456 62388 83184 110912 124776 150223 166368 249552 300446 332736 450669 499104 600892 901338 998208 1201784 1352007 1802676 2403568 2704014 3605352 4807136 5408028 7210704 9614272 10816056 14421408 21632112 28842816 43264224 86528448 260336459 520672918 781009377 1041345836 1562018754 2082691672 2343028131 3124037508 4165383344 4686056262 6248075016 8330766688 9372112524 12496150032 16661533376 18744225048 24992300064 37488450096 49984600128 74976900192 149953800384