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102692047700 = 2252113119115767
BaseRepresentation
bin101111110100011101…
…1000100101101010100
3100211001210012112110002
41133220323010231110
53140303131011300
6115102010550432
710263543001034
oct1375073045524
9324053175402
10102692047700
113a607a90410
1217a9b438418
1398b7470688
144d827c38c4
152a1074d5d5
hex17e8ec4b54

102692047700 has 144 divisors (see below), whose sum is σ = 252271853568. Its totient is φ = 35946480000.

The previous prime is 102692047681. The next prime is 102692047753. The reversal of 102692047700 is 7740296201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6505217 + ... + 6520983.

It is an arithmetic number, because the mean of its divisors is an integer number (1751887872).

Almost surely, 2102692047700 is an apocalyptic number.

102692047700 is a gapful number since it is divisible by the number (10) 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 102692047700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126135926784).

102692047700 is an abundant number, since it is smaller than the sum of its proper divisors (149579805868).

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

102692047700 is a wasteful number, since it uses less digits than its factorization.

102692047700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16014 (or 16007 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 102692047700 in words is "one hundred two billion, six hundred ninety-two million, forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 191 220 275 310 341 382 550 620 682 764 775 955 1100 1364 1550 1705 1910 2101 3100 3410 3820 4202 4775 5921 6820 8404 8525 9550 10505 11842 15767 17050 19100 21010 23684 29605 31534 34100 42020 52525 59210 63068 65131 78835 105050 118420 130262 148025 157670 173437 210100 260524 296050 315340 325655 346874 394175 488777 592100 651310 693748 788350 867185 977554 1302620 1576700 1628275 1734370 1955108 2443885 3011497 3256550 3468740 4335925 4887770 5376547 6022994 6513100 8671850 9775540 10753094 12045988 12219425 15057485 17343700 21506188 24438850 26882735 30114970 33126467 48877700 53765470 60229940 66252934 75287425 93356407 107530940 132505868 134413675 150574850 165632335 186712814 268827350 301149700 331264670 373425628 466782035 537654700 662529340 828161675 933564070 1026920477 1656323350 1867128140 2053840954 2333910175 3312646700 4107681908 4667820350 5134602385 9335640700 10269204770 20538409540 25673011925 51346023850 102692047700