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149126496507 = 32294715797699
BaseRepresentation
bin1000101011100010100…
…0011100000011111011
3112020220212210221100100
42022320220130003323
54420402340342012
6152301402210443
713526331206562
oct2127050340373
9466825727310
10149126496507
115827602403a
1224a9a1b3a23
13110a76021a1
147309770bd9
153d2c0888dc
hex22b8a1c0fb

149126496507 has 48 divisors (see below), whose sum is σ = 227747520000. Its totient is φ = 93875447232.

The previous prime is 149126496479. The next prime is 149126496521. The reversal of 149126496507 is 705694621941.

149126496507 is a `hidden beast` number, since 1 + 4 + 9 + 126 + 4 + 9 + 6 + 507 = 666.

It is not a de Polignac number, because 149126496507 - 214 = 149126480123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149126496577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19365744 + ... + 19373442.

It is an arithmetic number, because the mean of its divisors is an integer number (4744740000).

Almost surely, 2149126496507 is an apocalyptic number.

149126496507 is a deficient number, since it is larger than the sum of its proper divisors (78621023493).

149126496507 is a wasteful number, since it uses less digits than its factorization.

149126496507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

Adding to 149126496507 its sum of digits (54), we get a square (149126496561 = 3861692).

The spelling of 149126496507 in words is "one hundred forty-nine billion, one hundred twenty-six million, four hundred ninety-six thousand, five hundred seven".

Divisors: 1 3 9 29 47 87 141 261 423 1363 1579 4089 4737 7699 12267 14211 23097 45791 69291 74213 137373 222639 223271 361853 412119 667917 669813 1085559 2009439 2152177 3256677 6456531 10493737 12156721 19369593 31481211 36470163 94443633 109410489 352544909 571365887 1057634727 1714097661 3172904181 5142292983 16569610723 49708832169 149126496507