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49312023744 = 263835475657
BaseRepresentation
bin101101111011001110…
…011100010011000000
311201021122021100121210
4231323032130103000
51301442334224434
634353103450120
73363666200034
oct557316342300
9151248240553
1049312023744
1119a05396335
1296825b6940
13485b380399
14255b2061c4
151439299ee9
hexb7b39c4c0

49312023744 has 112 divisors (see below), whose sum is σ = 132308120448. Its totient is φ = 16206747648.

The previous prime is 49312023737. The next prime is 49312023751. The reversal of 49312023744 is 44732021394.

49312023744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49312023737) and next prime (49312023751).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8714164 + ... + 8719820.

It is an arithmetic number, because the mean of its divisors is an integer number (1181322504).

Almost surely, 249312023744 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 49312023744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66154060224).

49312023744 is an abundant number, since it is smaller than the sum of its proper divisors (82996096704).

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

49312023744 is a wasteful number, since it uses less digits than its factorization.

49312023744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 49312023744 in words is "forty-nine billion, three hundred twelve million, twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 547 664 996 1094 1328 1641 1992 2188 2656 3282 3984 4376 5312 5657 6564 7968 8752 11314 13128 15936 16971 17504 22628 26256 33942 35008 45256 45401 52512 67884 90512 90802 105024 135768 136203 181024 181604 271536 272406 362048 363208 469531 543072 544812 726416 939062 1086144 1089624 1408593 1452832 1878124 2179248 2817186 2905664 3094379 3756248 4358496 5634372 6188758 7512496 8716992 9283137 11268744 12377516 15024992 18566274 22537488 24755032 30049984 37132548 45074976 49510064 74265096 90149952 99020128 148530192 198040256 256833457 297060384 513666914 594120768 770500371 1027333828 1541000742 2054667656 3082001484 4109335312 6164002968 8218670624 12328005936 16437341248 24656011872 49312023744