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8990507548920 = 2335597759163661
BaseRepresentation
bin1000001011010100010000…
…0000100100000011111000
31011211111001221002100110010
42002311010000210003320
52134300024413031140
631042103202221520
71615354105160622
oct202650400440370
934744057070403
108990507548920
112956942147137
1210125069548a0
13502a5539b631
14231200121c12
15108ce5178880
hex82d440240f8

8990507548920 has 128 divisors (see below), whose sum is σ = 27432369792000. Its totient is φ = 2356515463680.

The previous prime is 8990507548909. The next prime is 8990507548931. The reversal of 8990507548920 is 298457050998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8990507548909) and next prime (8990507548931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54851890 + ... + 55015550.

It is an arithmetic number, because the mean of its divisors is an integer number (214315389000).

Almost surely, 28990507548920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8990507548920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716184896000).

8990507548920 is an abundant number, since it is smaller than the sum of its proper divisors (18441862243080).

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

8990507548920 is a wasteful number, since it uses less digits than its factorization.

8990507548920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171493 (or 171489 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 8990507548920 in words is "eight trillion, nine hundred ninety billion, five hundred seven million, five hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 7759 15518 23277 31036 38795 46554 62072 77590 93108 116385 155180 163661 186216 232770 310360 327322 457781 465540 490983 654644 818305 915562 931080 981966 1309288 1373343 1636610 1831124 1963932 2288905 2454915 2746686 3273220 3662248 3927864 4577810 4909830 5493372 6546440 6866715 9155620 9655999 9819660 10986744 13733430 18311240 19311998 19639320 27466860 28967997 38623996 48279995 54933720 57935994 77247992 96559990 115871988 144839985 193119980 231743976 289679970 386239960 579359940 1158719880 1269845699 2539691398 3809537097 5079382796 6349228495 7619074194 10158765592 12698456990 15238148388 19047685485 25396913980 30476296776 38095370970 50793827960 74920896241 76190741940 149841792482 152381483880 224762688723 299683584964 374604481205 449525377446 599367169928 749208962410 899050754892 1123813443615 1498417924820 1798101509784 2247626887230 2996835849640 4495253774460 8990507548920