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3690048902500 = 225410323732
BaseRepresentation
bin110101101100101000000…
…011011101010101100100
3111001202122212000112200101
4311230220003131111210
5440424210004340000
611503103550153444
7530411565102412
oct65545003352544
914052585015611
103690048902500
1111a2a39451554
124b71a5ab2884
13209c7c47236c
14ca8567682b2
1565ebed9ce6a
hex35b280dd564

3690048902500 has 135 divisors (see below), whose sum is σ = 8170407658413. Its totient is φ = 1457770536000.

The previous prime is 3690048902497. The next prime is 3690048902509. The reversal of 3690048902500 is 52098400963.

The square root of 3690048902500 is 1920950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2697602583844 + 992446318656 = 1642438^2 + 996216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3690048902509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9892892314 + ... + 9892892686.

Almost surely, 23690048902500 is an apocalyptic number.

3690048902500 is the 1920950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690048902500

3690048902500 is an abundant number, since it is smaller than the sum of its proper divisors (4480358755913).

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

3690048902500 is an frugal number, since it uses more digits than its factorization.

3690048902500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 3690048902500 in words is "three trillion, six hundred ninety billion, forty-eight million, nine hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 125 206 250 373 412 500 515 625 746 1030 1250 1492 1865 2060 2500 2575 3730 5150 7460 9325 10300 10609 12875 18650 21218 25750 37300 38419 42436 46625 51500 53045 64375 76838 93250 106090 128750 139129 153676 186500 192095 212180 233125 257500 265225 278258 384190 466250 530450 556516 695645 768380 932500 960475 1060900 1326125 1391290 1920950 2652250 2782580 3478225 3841900 3957157 4802375 5304500 6630625 6956450 7914314 9604750 13261250 13912900 14330287 15828628 17391125 19209500 19785785 24011875 26522500 28660574 34782250 39571570 48023750 57321148 69564500 71651435 79143140 86955625 96047500 98928925 143302870 173911250 197857850 286605740 347822500 358257175 395715700 494644625 716514350 989289250 1433028700 1476019561 1791285875 1978578500 2473223125 2952039122 3582571750 4946446250 5904078244 7165143500 7380097805 8956429375 9892892500 14760195610 17912858750 29520391220 35825717500 36900489025 73800978050 147601956100 184502445125 369004890250 738009780500 922512225625 1845024451250 3690048902500