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55844816640 = 283519937297
BaseRepresentation
bin110100000000100111…
…000100011100000000
312100010220212121202020
4310000213010130000
51403332233113030
641353232121440
74014613052334
oct640047043400
9170126777666
1055844816640
1121757a41328
12a9a6396280
13535c943502
1429baaa57c4
1516bca77510
hexd009c4700

55844816640 has 144 divisors (see below), whose sum is σ = 178468327968. Its totient is φ = 14882439168.

The previous prime is 55844816639. The next prime is 55844816641. The reversal of 55844816640 is 4661844855.

It is an interprime number because it is at equal distance from previous prime (55844816639) and next prime (55844816641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55844816641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7649472 + ... + 7656768.

Almost surely, 255844816640 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 55844816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89234163984).

55844816640 is an abundant number, since it is smaller than the sum of its proper divisors (122623511328).

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

55844816640 is a wasteful number, since it uses less digits than its factorization.

55844816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 55844816640 in words is "fifty-five billion, eight hundred forty-four million, eight hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 1993 3840 3986 5979 7297 7972 9965 11958 14594 15944 19930 21891 23916 29188 29895 31888 36485 39860 43782 47832 58376 59790 63776 72970 79720 87564 95664 109455 116752 119580 127552 145940 159440 175128 191328 218910 233504 239160 255104 291880 318880 350256 382656 437820 467008 478320 510208 583760 637760 700512 765312 875640 934016 956640 1167520 1275520 1401024 1530624 1751280 1868032 1913280 2335040 2551040 2802048 3502560 3826560 4670080 5604096 7005120 7653120 9340160 14010240 14542921 28020480 29085842 43628763 58171684 72714605 87257526 116343368 145429210 174515052 218143815 232686736 290858420 349030104 436287630 465373472 581716840 698060208 872575260 930746944 1163433680 1396120416 1745150520 1861493888 2326867360 2792240832 3490301040 3722987776 4653734720 5584481664 6980602080 9307469440 11168963328 13961204160 18614938880 27922408320 55844816640