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10145607672420 = 223251119269686541
BaseRepresentation
bin1001001110100011010101…
…0101110110001001100100
31022220220120211202101222200
42103220311111312021210
52312211201031004140
633324454450454500
72064665421213633
oct223506525661144
938826524671880
1010145607672420
113261801043480
12117a353594430
1358795a72cc7c
1427109b40151a
15128d9d102030
hex93a35576264

10145607672420 has 144 divisors (see below), whose sum is σ = 35339724463680. Its totient is φ = 2330091705600.

The previous prime is 10145607672377. The next prime is 10145607672451. The reversal of 10145607672420 is 2427670654101.

10145607672420 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 560 + 7 + 67 + 2 + 4 + 20 = 666.

It is a super-3 number, since 3×101456076724203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 134805651 + ... + 134880890.

It is an arithmetic number, because the mean of its divisors is an integer number (245414753220).

Almost surely, 210145607672420 is an apocalyptic number.

10145607672420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145607672420 is an abundant number, since it is smaller than the sum of its proper divisors (25194116791260).

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

10145607672420 is a wasteful number, since it uses less digits than its factorization.

10145607672420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269686586 (or 269686581 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10145607672420 in words is "ten trillion, one hundred forty-five billion, six hundred seven million, six hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 269686541 539373082 809059623 1078746164 1348432705 1618119246 2427178869 2696865410 2966551951 3236238492 4045298115 4854357738 5124044279 5393730820 5933103902 8090596230 8899655853 9708715476 10248088558 11866207804 12135894345 14832759755 15372132837 16181192460 17799311706 20496177116 24271788690 25620221395 26698967559 29665519510 30744265674 35598623412 44498279265 46116398511 48543577380 51240442790 53397935118 56364487069 59331039020 61488531348 76860664185 88996558530 92232797022 102480885580 106795870236 112728974138 133494837795 153721328370 169093461207 177993117060 184465594044 225457948276 230581992555 266989675590 281822435345 307442656740 338186922414 461163985110 507280383621 533979351180 563644870690 676373844828 845467306035 922327970220 1014560767242 1127289741380 1690934612070 2029121534484 2536401918105 3381869224140 5072803836210 10145607672420