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45345002688 = 263423380309
BaseRepresentation
bin101010001110110001…
…011101010011000000
311100001011121210210000
4222032301131103000
51220331310041223
632455312440000
73163456110006
oct521661352300
9140034553700
1045345002688
111825a087737
128955b49000
13437853784b
1422a23d8a76
1512a5d8b543
hexa8ec5d4c0

45345002688 has 140 divisors (see below), whose sum is σ = 140261370480. Its totient is φ = 14457788928.

The previous prime is 45345002657. The next prime is 45345002693. The reversal of 45345002688 is 88620054354.

45345002688 is a `hidden beast` number, since 4 + 534 + 50 + 0 + 2 + 68 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70923 + ... + 309386.

It is an arithmetic number, because the mean of its divisors is an integer number (1001866932).

Almost surely, 245345002688 is an apocalyptic number.

45345002688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45345002688 is an abundant number, since it is smaller than the sum of its proper divisors (94916367792).

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

45345002688 is a wasteful number, since it uses less digits than its factorization.

45345002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380356 (or 380337 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45345002688 in words is "forty-five billion, three hundred forty-five million, two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 380309 760618 1140927 1521236 2281854 3042472 3422781 4563708 6084944 6845562 8747107 9127416 10268343 12169888 13691124 17494214 18254832 20536686 24339776 26241321 27382248 30805029 34988428 36509664 41073372 52482642 54764496 61610058 69976856 73019328 78723963 82146744 104965284 109528992 123220116 139953712 157447926 164293488 209930568 219057984 236171889 246440232 279907424 314895852 328586976 419861136 472343778 492880464 559814848 629791704 657173952 708515667 839722272 944687556 985760928 1259583408 1417031334 1679444544 1889375112 1971521856 2519166816 2834062668 3778750224 5038333632 5668125336 7557500448 11336250672 15115000896 22672501344 45345002688