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54360417608 = 23717793472083
BaseRepresentation
bin110010101000001000…
…100010010101001000
312012022110201100002022
4302220020202111020
51342312231330413
640550044224012
73633046632350
oct625010422510
9165273640068
1054360417608
1121066047372
12a65123b008
1351842542a3
1428b98a3b60
1516325b0608
hexca8222548

54360417608 has 128 divisors (see below), whose sum is σ = 125320089600. Its totient is φ = 21576582144.

The previous prime is 54360417583. The next prime is 54360417613. The reversal of 54360417608 is 80671406345.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26096135 + ... + 26098217.

It is an arithmetic number, because the mean of its divisors is an integer number (979063200).

Almost surely, 254360417608 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 54360417608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62660044800).

54360417608 is an abundant number, since it is smaller than the sum of its proper divisors (70959671992).

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

54360417608 is a wasteful number, since it uses less digits than its factorization.

54360417608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 54360417608 in words is "fifty-four billion, three hundred sixty million, four hundred seventeen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 79 119 136 158 238 316 347 476 553 632 694 952 1106 1343 1388 2083 2212 2429 2686 2776 4166 4424 4858 5372 5899 8332 9401 9716 10744 11798 14581 16664 18802 19432 23596 27413 29162 35411 37604 41293 47192 54826 58324 70822 75208 82586 109652 116648 141644 164557 165172 191891 219304 247877 283288 329114 330344 383782 466021 495754 658228 722801 767564 932042 991508 1151899 1316456 1445602 1535128 1864084 1983016 2303798 2797469 2891204 3262147 3728168 4607596 5059607 5594938 5782408 6524294 9215192 10119214 11189876 12287617 13048588 19582283 20238428 22379752 24575234 26097176 39164566 40476856 49150468 57101279 78329132 86013319 98300936 114202558 156658264 172026638 228405116 344053276 399708953 456810232 688106552 799417906 970721743 1598835812 1941443486 3197671624 3882886972 6795052201 7765773944 13590104402 27180208804 54360417608