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38763916640 = 2552367157219
BaseRepresentation
bin100100000110100000…
…100110110101100000
310201001112010222220022
4210012200212311200
51113342030313030
625450301133012
72541414566141
oct440640466540
9121045128808
1038763916640
1115492247349
127619b5a168
133869c661a7
141c3a367ac8
15101d21ede5
hex906826d60

38763916640 has 96 divisors (see below), whose sum is σ = 96988389120. Its totient is φ = 14609954304.

The previous prime is 38763916589. The next prime is 38763916643. The reversal of 38763916640 is 4661936783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38763916643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167951 + ... + 325169.

It is an arithmetic number, because the mean of its divisors is an integer number (1010295720).

Almost surely, 238763916640 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 38763916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48494194560).

38763916640 is an abundant number, since it is smaller than the sum of its proper divisors (58224472480).

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

38763916640 is a wasteful number, since it uses less digits than its factorization.

38763916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157324 (or 157316 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 38763916640 in words is "thirty-eight billion, seven hundred sixty-three million, nine hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 67 80 92 115 134 160 184 230 268 335 368 460 536 670 736 920 1072 1340 1541 1840 2144 2680 3082 3680 5360 6164 7705 10720 12328 15410 24656 30820 49312 61640 123280 157219 246560 314438 628876 786095 1257752 1572190 2515504 3144380 3616037 5031008 6288760 7232074 10533673 12577520 14464148 18080185 21067346 25155040 28928296 36160370 42134692 52668365 57856592 72320740 84269384 105336730 115713184 144641480 168538768 210673460 242274479 289282960 337077536 421346920 484548958 578565920 842693840 969097916 1211372395 1685387680 1938195832 2422744790 3876391664 4845489580 7752783328 9690979160 19381958320 38763916640