Search a number
-
+
73208497920 = 283541464993
BaseRepresentation
bin100010000101110010…
…0010000011100000000
320222222000201000120220
41010023210100130000
52144412333413140
653344224103040
75201113651665
oct1041344203400
9228860630526
1073208497920
112905831a048
1212231464a80
136b990a012c
143786bb3a6c
151d8713bbd0
hex110b910700

73208497920 has 144 divisors (see below), whose sum is σ = 239512829472. Its totient is φ = 19046072320.

The previous prime is 73208497909. The next prime is 73208497991. The reversal of 73208497920 is 2979480237.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75057 + ... + 389936.

It is an arithmetic number, because the mean of its divisors is an integer number (1663283538).

Almost surely, 273208497920 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 73208497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119756414736).

73208497920 is an abundant number, since it is smaller than the sum of its proper divisors (166304331552).

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

73208497920 is a wasteful number, since it uses less digits than its factorization.

73208497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465058 (or 465044 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 73208497920 in words is "seventy-three billion, two hundred eight million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1920 1968 2460 2624 3280 3840 3936 4920 5248 6560 7872 9840 10496 13120 15744 19680 26240 31488 39360 52480 78720 157440 464993 929986 1394979 1859972 2324965 2789958 3719944 4649930 5579916 6974895 7439888 9299860 11159832 13949790 14879776 18599720 19064713 22319664 27899580 29759552 37199440 38129426 44639328 55799160 57194139 59519104 74398880 76258852 89278656 95323565 111598320 114388278 119038208 148797760 152517704 178557312 190647130 223196640 228776556 285970695 297595520 305035408 357114624 381294260 446393280 457553112 571941390 595191040 610070816 762588520 892786560 915106224 1143882780 1220141632 1525177040 1785573120 1830212448 2287765560 2440283264 3050354080 3660424896 4575531120 4880566528 6100708160 7320849792 9151062240 12201416320 14641699584 18302124480 24402832640 36604248960 73208497920