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11542140504 = 23321076772213
BaseRepresentation
bin10101011111111011…
…10001011001011000
31002210101120111012100
422233331301121120
5142114241444004
65145152043400
7556011401256
oct125775613130
932711514170
1011542140504
114993267aa4
1222a1533560
13111c34564b
147b6cb55d6
1547847d739
hex2aff71658

11542140504 has 96 divisors (see below), whose sum is σ = 31612997520. Its totient is φ = 3804073728.

The previous prime is 11542140487. The next prime is 11542140521. The reversal of 11542140504 is 40504124511.

11542140504 is a `hidden beast` number, since 1 + 15 + 4 + 2 + 140 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (11542140487) and next prime (11542140521).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5214502 + ... + 5216714.

Almost surely, 211542140504 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 11542140504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15806498760).

11542140504 is an abundant number, since it is smaller than the sum of its proper divisors (20070857016).

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

11542140504 is a wasteful number, since it uses less digits than its factorization.

11542140504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 11542140504 in words is "eleven billion, five hundred forty-two million, one hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 677 856 963 1284 1354 1926 2031 2213 2568 2708 3852 4062 4426 5416 6093 6639 7704 8124 8852 12186 13278 16248 17704 19917 24372 26556 39834 48744 53112 72439 79668 144878 159336 217317 236791 289756 434634 473582 579512 651951 710373 869268 947164 1303902 1420746 1498201 1738536 1894328 2131119 2607804 2841492 2996402 4262238 4494603 5215608 5682984 5992804 8524476 8989206 11985608 13483809 17048952 17978412 26967618 35956824 53935236 107870472 160307507 320615014 480922521 641230028 961845042 1282460056 1442767563 1923690084 2885535126 3847380168 5771070252 11542140504