Search a number
-
+
98051762640 = 243513157200171
BaseRepresentation
bin101101101010001010…
…1110010100111010000
3100101002101200122000110
41123110111302213100
53101302222401030
6113013325321320
710040546142126
oct1332425624720
9311071618013
1098051762640
1138646733587
1217005406240
139327cb9b80
144a623db916
15283d19e1b0
hex16d45729d0

98051762640 has 160 divisors (see below), whose sum is σ = 329428665216. Its totient is φ = 23981967360.

The previous prime is 98051762593. The next prime is 98051762651. The reversal of 98051762640 is 4626715089.

It is a super-2 number, since 2×980517626402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98051762640.

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, 389755 + ... + 589925.

Almost surely, 298051762640 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 98051762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164714332608).

98051762640 is an abundant number, since it is smaller than the sum of its proper divisors (231376902576).

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

98051762640 is a wasteful number, since it uses less digits than its factorization.

98051762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200357 (or 200351 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 98051762640 in words is "ninety-eight billion, fifty-one million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1040 1256 1560 1570 1884 2041 2355 2512 3120 3140 3768 4082 4710 6123 6280 7536 8164 9420 10205 12246 12560 16328 18840 20410 24492 30615 32656 37680 40820 48984 61230 81640 97968 122460 163280 200171 244920 400342 489840 600513 800684 1000855 1201026 1601368 2001710 2402052 2602223 3002565 3202736 4003420 4804104 5204446 6005130 7806669 8006840 9608208 10408892 12010260 13011115 15613338 16013680 20817784 24020520 26022230 31226676 31426847 39033345 41635568 48041040 52044460 62453352 62853694 78066690 94280541 104088920 124906704 125707388 156133380 157134235 188561082 208177840 251414776 312266760 314268470 377122164 408549011 471402705 502829552 624533520 628536940 754244328 817098022 942805410 1225647033 1257073880 1508488656 1634196044 1885610820 2042745055 2451294066 2514147760 3268392088 3771221640 4085490110 4902588132 6128235165 6536784176 7542443280 8170980220 9805176264 12256470330 16341960440 19610352528 24512940660 32683920880 49025881320 98051762640