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10379977620336 = 243442111901981
BaseRepresentation
bin1001011100001100011011…
…1000001111101101110000
31100202022112111011100110000
42113003012320033231300
52330031143232322321
634024255040110000
72120633344001502
oct227030670175560
940668474140400
1010379977620336
11334213a841205
1211b7861605300
135a3a9b58461c
1427c572061d72
15130018b4e826
hex970c6e0fb70

10379977620336 has 100 divisors (see below), whose sum is σ = 30049816838184. Its totient is φ = 3459169065600.

The previous prime is 10379977620317. The next prime is 10379977620401. The reversal of 10379977620336 is 63302677997301.

10379977620336 is a `hidden beast` number, since 103 + 79 + 9 + 77 + 62 + 0 + 336 = 666.

10379977620336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4506466 + ... + 6408446.

Almost surely, 210379977620336 is an apocalyptic number.

10379977620336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10379977620336 is an abundant number, since it is smaller than the sum of its proper divisors (19669839217848).

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

10379977620336 is a wasteful number, since it uses less digits than its factorization.

10379977620336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906212 (or 1906197 counting only the distinct ones).

The product of its (nonzero) digits is 54010152, while the sum is 63.

The spelling of 10379977620336 in words is "ten trillion, three hundred seventy-nine billion, nine hundred seventy-seven million, six hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4211 8422 12633 16844 25266 33688 37899 50532 67376 75798 101064 113697 151596 202128 227394 303192 341091 454788 606384 682182 909576 1364364 1819152 1901981 2728728 3803962 5457456 5705943 7607924 11411886 15215848 17117829 22823772 30431696 34235658 45647544 51353487 68471316 91295088 102706974 136942632 154060461 205413948 273885264 308120922 410827896 616241844 821655792 1232483688 2464967376 8009241991 16018483982 24027725973 32036967964 48055451946 64073935928 72083177919 96110903892 128147871856 144166355838 192221807784 216249533757 288332711676 384443615568 432499067514 576665423352 648748601271 864998135028 1153330846704 1297497202542 1729996270056 2594994405084 3459992540112 5189988810168 10379977620336