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54315784692 = 2232137110715277
BaseRepresentation
bin110010100101011110…
…010001100111110100
312012012100201202020100
4302211132101213310
51342214320102232
640541411434100
73631665360261
oct624536214764
9165170652210
1054315784692
1121042931a64
12a63a2b5930
135177c27a90
1428b39a6268
15162d6e5c7c
hexca57919f4

54315784692 has 144 divisors (see below), whose sum is σ = 151353401472. Its totient is φ = 16322100480.

The previous prime is 54315784687. The next prime is 54315784723. The reversal of 54315784692 is 29648751345.

It is a happy number.

54315784692 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 578 + 4 + 69 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3547758 + ... + 3563034.

It is an arithmetic number, because the mean of its divisors is an integer number (1051065288).

Almost surely, 254315784692 is an apocalyptic number.

54315784692 is a gapful number since it is divisible by the number (52) 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 54315784692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75676700736).

54315784692 is an abundant number, since it is smaller than the sum of its proper divisors (97037616780).

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

54315784692 is a wasteful number, since it uses less digits than its factorization.

54315784692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15478 (or 15473 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 54315784692 in words is "fifty-four billion, three hundred fifteen million, seven hundred eighty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 107 117 142 156 213 214 234 284 321 426 428 468 639 642 852 923 963 1278 1284 1391 1846 1926 2556 2769 2782 3692 3852 4173 5538 5564 7597 8307 8346 11076 12519 15194 15277 16614 16692 22791 25038 30388 30554 33228 45582 45831 50076 61108 68373 91164 91662 98761 136746 137493 183324 197522 198601 273492 274986 296283 395044 397202 549972 592566 595803 794404 888849 1084667 1185132 1191606 1634639 1777698 1787409 2169334 2383212 3254001 3269278 3555396 3574818 4338668 4903917 6508002 6538556 7149636 9762003 9807834 13016004 14100671 14711751 19524006 19615668 21250307 28201342 29423502 39048012 42302013 42500614 56402684 58847004 63750921 84604026 85001228 116059369 126906039 127501842 169208052 191252763 232118738 253812078 255003684 348178107 382505526 464237476 507624156 696356214 765011052 1044534321 1392712428 1508771797 2089068642 3017543594 4178137284 4526315391 6035087188 9052630782 13578946173 18105261564 27157892346 54315784692