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107709838848 = 2932101231431
BaseRepresentation
bin110010001010000000…
…0011011011000000000
3101022000111001201212200
41210110000123120000
53231042204320343
6121251535353200
710532102344533
oct1442400333000
9338014051780
10107709838848
114175243a147
1218a5b982800
13a206bbb171
1452dad96a1a
152c0601b4d3
hex191401b600

107709838848 has 120 divisors (see below), whose sum is σ = 313937045136. Its totient is φ = 35547648000.

The previous prime is 107709838781. The next prime is 107709838849. The reversal of 107709838848 is 848838907701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107709838849) 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 11 ways as a sum of consecutive naturals, for example, 349693 + ... + 581123.

Almost surely, 2107709838848 is an apocalyptic number.

107709838848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107709838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156968522568).

107709838848 is an abundant number, since it is smaller than the sum of its proper divisors (206227206288).

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

107709838848 is a wasteful number, since it uses less digits than its factorization.

107709838848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231556 (or 231537 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 107709838848 in words is "one hundred seven billion, seven hundred nine million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1152 1212 1536 1616 1818 2304 2424 3232 3636 4608 4848 6464 7272 9696 12928 14544 19392 25856 29088 38784 51712 58176 77568 116352 155136 231431 232704 462862 465408 694293 925724 1388586 1851448 2082879 2777172 3702896 4165758 5554344 7405792 8331516 11108688 14811584 16663032 22217376 23374531 29623168 33326064 44434752 46749062 59246336 66652128 70123593 88869504 93498124 118492672 133304256 140247186 177739008 186996248 210370779 266608512 280494372 355478016 373992496 420741558 533217024 560988744 747984992 841483116 1066434048 1121977488 1495969984 1682966232 2243954976 2991939968 3365932464 4487909952 5983879936 6731864928 8975819904 11967759872 13463729856 17951639808 26927459712 35903279616 53854919424 107709838848